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Zapiski Nauchnykh Seminarov POMI, 1994, Volume 218, Pages 12–16
(Mi znsl5969)
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This article is cited in 2 scientific papers (total in 3 papers)
Mechanical systems, proper oscilations, and spectral theory of selfadjoint operators
V. M. Babich St. Petersburg Department of V. A. Steklov Institute of Mathematics of the Russian Academy of Sciences
Abstract:
In the paper on some examples we illustrate the following thesis. In all cases it is possible to reduce the problem of of finding proper oscillations of a holonomic nondisspative mechanical system to the problem of obtaining eigenvalues and eigen elements of the corresponding selfadjoint operator in the Hilbert space. The scalar product in the space is determined by the quadratic form of the kinetic energy. Bibliography: 1 title.
Received: 07.07.1994
Citation:
V. M. Babich, “Mechanical systems, proper oscilations, and spectral theory of selfadjoint operators”, Mathematical problems in the theory of wave propagation. Part 24, Zap. Nauchn. Sem. POMI, 218, POMI, St. Petersburg, 1994, 12–16; J. Math. Sci. (New York), 86:3 (1997), 2664–2666
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https://www.mathnet.ru/eng/znsl5969 https://www.mathnet.ru/eng/znsl/v218/p12
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Abstract page: | 156 | Full-text PDF : | 45 |
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